Shi, Pengpeng; Zeng, Zhi; Liang, Tianshou Physics-informed ConvNet: learning physical field from a shallow neural network. (English) Zbl 07822386 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107911, 28 p. (2024). MSC: 65M99 68T05 65M06 65N06 65D05 65M12 41A58 60F10 34A34 35Q79 35Q55 35Q41 35R02 PDFBibTeX XMLCite \textit{P. Shi} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107911, 28 p. (2024; Zbl 07822386) Full Text: DOI arXiv
Zhang, Wen; Wu, Changxing; Ruan, Zhousheng; Qiu, Shufang A Jacobi spectral method for calculating fractional derivative based on mollification regularization. (English) Zbl 07799932 Asymptotic Anal. 136, No. 1, 61-77 (2024). MSC: 65M70 65M12 65M15 65D32 33C45 35B65 26A33 35R11 34A08 34B24 35R60 PDFBibTeX XMLCite \textit{W. Zhang} et al., Asymptotic Anal. 136, No. 1, 61--77 (2024; Zbl 07799932) Full Text: DOI
Pallikarakis, Nikolaos; Ntargaras, Andreas Application of machine learning regression models to inverse eigenvalue problems. (English) Zbl 07784357 Comput. Math. Appl. 154, 162-174 (2024). MSC: 65-XX 35R30 34A55 34B24 35P25 68T05 PDFBibTeX XMLCite \textit{N. Pallikarakis} and \textit{A. Ntargaras}, Comput. Math. Appl. 154, 162--174 (2024; Zbl 07784357) Full Text: DOI arXiv
Jacobson, Alon; Hu, Xiaozhe Structure-preserving discretization of fractional vector calculus using discrete exterior calculus. (English) Zbl 07784335 Comput. Math. Appl. 153, 186-196 (2024). MSC: 65-XX 35R11 26A33 65N06 65M06 34A08 PDFBibTeX XMLCite \textit{A. Jacobson} and \textit{X. Hu}, Comput. Math. Appl. 153, 186--196 (2024; Zbl 07784335) Full Text: DOI arXiv
Aguilar-Canto, Fernando Javier; Brito-Loeza, Carlos; Calvo, Hiram Model discovery of compartmental models with graph-supported neural networks. (English) Zbl 07764816 Appl. Math. Comput. 464, Article ID 128392, 15 p. (2024). MSC: 34Cxx 68Txx 62Mxx PDFBibTeX XMLCite \textit{F. J. Aguilar-Canto} et al., Appl. Math. Comput. 464, Article ID 128392, 15 p. (2024; Zbl 07764816) Full Text: DOI
Gao, Ruisong; Wang, Yufeng; Yang, Min; Chen, Chuanjun PI-VEGAN: physics informed variational embedding generative adversarial networks for stochastic differential equations. (English) Zbl 07814771 Numer. Math., Theory Methods Appl. 16, No. 4, 931-953 (2023). MSC: 60H35 34F05 62M45 PDFBibTeX XMLCite \textit{R. Gao} et al., Numer. Math., Theory Methods Appl. 16, No. 4, 931--953 (2023; Zbl 07814771) Full Text: DOI arXiv
Li, Qing; Evje, Steinar Learning the nonlinear flux function of a hidden scalar conservation law from data. (English) Zbl 07798626 Netw. Heterog. Media 18, No. 1, 48-79 (2023). MSC: 68T05 34B15 PDFBibTeX XMLCite \textit{Q. Li} and \textit{S. Evje}, Netw. Heterog. Media 18, No. 1, 48--79 (2023; Zbl 07798626) Full Text: DOI
Yang, Andy L. A novel deep neural network algorithm for the Helmholtz scattering problem in the unbounded domain. (English) Zbl 07793823 Int. J. Numer. Anal. Model. 20, No. 5, 724-738 (2023). MSC: 65L15 34L16 PDFBibTeX XMLCite \textit{A. L. Yang}, Int. J. Numer. Anal. Model. 20, No. 5, 724--738 (2023; Zbl 07793823) Full Text: DOI
Xu, Jingjing; Zhao, Jia; Zhao, Yanxiang Numerical approximations of the Allen-Cahn-Ohta-Kawasaki equation with modified physics-informed neural networks (PINNs). (English) Zbl 07793821 Int. J. Numer. Anal. Model. 20, No. 5, 693-708 (2023). MSC: 65L15 34L16 PDFBibTeX XMLCite \textit{J. Xu} et al., Int. J. Numer. Anal. Model. 20, No. 5, 693--708 (2023; Zbl 07793821) Full Text: DOI
Mohammed Ghuraibawi, Amer Abdulhussein; Marasi, H. R.; Derakhshan, M. H.; Kumar, Pushpendra Numerical solution of multidimensional time-space fractional differential equations of distributed order with Riesz derivative. (English) Zbl 07793766 Math. Methods Appl. Sci. 46, No. 14, 15186-15207 (2023). MSC: 65L05 26A33 34A08 33C50 PDFBibTeX XMLCite \textit{A. A. Mohammed Ghuraibawi} et al., Math. Methods Appl. Sci. 46, No. 14, 15186--15207 (2023; Zbl 07793766) Full Text: DOI
Jornet, Marc Theory and methods for random differential equations: a survey. (English) Zbl 07778310 S\(\vec{\text{e}}\)MA J. 80, No. 4, 549-579 (2023). MSC: 34F05 35R60 60H35 65C30 PDFBibTeX XMLCite \textit{M. Jornet}, S\(\vec{\text{e}}\)MA J. 80, No. 4, 549--579 (2023; Zbl 07778310) Full Text: DOI
Fang, Cheng; Lu, Yubin; Gao, Ting; Duan, Jinqiao Reservoir computing with error correction: long-term behaviors of stochastic dynamical systems. (English) Zbl 07767803 Physica D 456, Article ID 133919, 22 p. (2023). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{C. Fang} et al., Physica D 456, Article ID 133919, 22 p. (2023; Zbl 07767803) Full Text: DOI arXiv
Gu, Qiling; Chen, Yanping; Zhou, Jianwei; Huang, Yunqing A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes. (English) Zbl 07761285 Int. J. Comput. Math. 100, No. 11, 2124-2139 (2023). MSC: 65M60 65N30 34K37 65M15 65M55 PDFBibTeX XMLCite \textit{Q. Gu} et al., Int. J. Comput. Math. 100, No. 11, 2124--2139 (2023; Zbl 07761285) Full Text: DOI
Guo, Yuling; Wang, Zhongqing A fast time-stepping method based on the \(hp\)-version spectral collocation method for the nonlinear fractional delay differential equation. (English) Zbl 1523.65066 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107424, 15 p. (2023). MSC: 65L60 34K37 45D05 65L70 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Z. Wang}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107424, 15 p. (2023; Zbl 1523.65066) Full Text: DOI
Diethelm, Kai; Uhlig, Frank A new approach to shooting methods for terminal value problems of fractional differential equations. (English) Zbl 1526.65032 J. Sci. Comput. 97, No. 2, Paper No. 38, 29 p. (2023). MSC: 65L10 34A08 PDFBibTeX XMLCite \textit{K. Diethelm} and \textit{F. Uhlig}, J. Sci. Comput. 97, No. 2, Paper No. 38, 29 p. (2023; Zbl 1526.65032) Full Text: DOI arXiv OA License
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin Two families of second-order fractional numerical formulas and applications to fractional differential equations. (English) Zbl 1522.34028 Fract. Calc. Appl. Anal. 26, No. 4, 1842-1867 (2023). MSC: 34A08 26A33 41A55 65D32 PDFBibTeX XMLCite \textit{B. Yin} et al., Fract. Calc. Appl. Anal. 26, No. 4, 1842--1867 (2023; Zbl 1522.34028) Full Text: DOI
S M, Sivalingam; Kumar, Pushpendra; Govindaraj, Venkatesan A neural networks-based numerical method for the generalized Caputo-type fractional differential equations. (English) Zbl 07736747 Math. Comput. Simul. 213, 302-323 (2023). MSC: 34-XX 65-XX PDFBibTeX XMLCite \textit{S. S M} et al., Math. Comput. Simul. 213, 302--323 (2023; Zbl 07736747) Full Text: DOI
Istafa, Ghafirlia; Rehman, Mujeeb ur A numerical method for fractional Sturm-Liouville problems involving the Cauchy-Euler operators. (English) Zbl 07732719 J. Comput. Appl. Math. 429, Article ID 115221, 21 p. (2023). MSC: 65Lxx 34A08 34B24 PDFBibTeX XMLCite \textit{G. Istafa} and \textit{M. u. Rehman}, J. Comput. Appl. Math. 429, Article ID 115221, 21 p. (2023; Zbl 07732719) Full Text: DOI
Garrappa, Roberto; Giusti, Andrea A computational approach to exponential-type variable-order fractional differential equations. (English) Zbl 1521.34009 J. Sci. Comput. 96, No. 3, Paper No. 63, 19 p. (2023). MSC: 34A08 65L05 44A10 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{A. Giusti}, J. Sci. Comput. 96, No. 3, Paper No. 63, 19 p. (2023; Zbl 1521.34009) Full Text: DOI arXiv
Owhadi, H. Gaussian process hydrodynamics. (English) Zbl 1516.35310 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 7, 1175-1198 (2023). MSC: 35Q30 76D05 60G15 65M75 65N75 65N35 47B34 41A15 34B15 PDFBibTeX XMLCite \textit{H. Owhadi}, AMM, Appl. Math. Mech., Engl. Ed. 44, No. 7, 1175--1198 (2023; Zbl 1516.35310) Full Text: DOI arXiv
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 07712414 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 PDFBibTeX XMLCite \textit{M. Breden}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 765--801 (2023; Zbl 07712414) Full Text: DOI arXiv
Bensaid, Bilel; Poëtte, Gaël; Turpault, Rodolphe Deterministic neural networks optimization from a continuous and energy point of view. (English) Zbl 07708315 J. Sci. Comput. 96, No. 1, Paper No. 14, 41 p. (2023). MSC: 68T07 65K10 65L05 34D20 PDFBibTeX XMLCite \textit{B. Bensaid} et al., J. Sci. Comput. 96, No. 1, Paper No. 14, 41 p. (2023; Zbl 07708315) Full Text: DOI
Goel, Eti; Pandey, Rajesh K.; Yadav, S.; Agrawal, Om P. A numerical approximation for generalized fractional Sturm-Liouville problem with application. (English) Zbl 07701035 Math. Comput. Simul. 207, 417-436 (2023). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{E. Goel} et al., Math. Comput. Simul. 207, 417--436 (2023; Zbl 07701035) Full Text: DOI
Amin, Rohul; Hafsa; Hadi, Fazli; Altanji, Mohamed; Nisar, Kottakkaran Sooppy; Sumelka, Wojciech Solution of variable-order nonlinear fractional differential equations using Haar wavelet collocation technique. (English) Zbl 07700470 Fractals 31, No. 2, Article ID 2340022, 9 p. (2023). MSC: 65Lxx 34Axx 35Rxx PDFBibTeX XMLCite \textit{R. Amin} et al., Fractals 31, No. 2, Article ID 2340022, 9 p. (2023; Zbl 07700470) Full Text: DOI
Wentz, Jacqueline; Doostan, Alireza Derivative-based SINDy (DSINDy): addressing the challenge of discovering governing equations from noisy data. (English) Zbl 07697909 Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023). MSC: 62J07 65D10 34A55 37M10 90C25 15A04 PDFBibTeX XMLCite \textit{J. Wentz} and \textit{A. Doostan}, Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023; Zbl 07697909) Full Text: DOI arXiv
Dellnitz, Michael; Hüllermeier, Eyke; Lücke, Marvin; Ober-Blöbaum, Sina; Offen, Christian; Peitz, Sebastian; Pfannschmidt, Karlson Efficient time-stepping for numerical integration using reinforcement learning. (English) Zbl 1520.65050 SIAM J. Sci. Comput. 45, No. 2, A579-A595 (2023). MSC: 65L05 65L06 34A12 65D32 68T05 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., SIAM J. Sci. Comput. 45, No. 2, A579--A595 (2023; Zbl 1520.65050) Full Text: DOI arXiv
Li, Yulong On the regularity and simplicity of a class of fractional elliptic operators. (English) Zbl 1521.47078 Commun. Pure Appl. Anal. 22, No. 2, 459-479 (2023). MSC: 47F10 47G20 34B24 34L15 45J05 PDFBibTeX XMLCite \textit{Y. Li}, Commun. Pure Appl. Anal. 22, No. 2, 459--479 (2023; Zbl 1521.47078) Full Text: DOI
Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. (English) Zbl 07673289 SIAM J. Sci. Comput. 45, No. 2, A289-A311 (2023). MSC: 65P10 34C20 37J25 37M15 37N30 PDFBibTeX XMLCite \textit{P. Buchfink} et al., SIAM J. Sci. Comput. 45, No. 2, A289--A311 (2023; Zbl 07673289) Full Text: DOI arXiv
Wang, Yuan-Ming; Xie, Bo A fractional Adams-Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data. (English) Zbl 1512.65148 BIT 63, No. 1, Paper No. 7, 40 p. (2023). MSC: 65L06 34A08 65L05 65L20 65L70 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{B. Xie}, BIT 63, No. 1, Paper No. 7, 40 p. (2023; Zbl 1512.65148) Full Text: DOI
Elkot, N. A.; Doha, E. H.; Ameen, I. G.; Hendy, A. S.; Zaky, M. A. A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. (English) Zbl 07654058 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107017, 14 p. (2023). MSC: 65Lxx 65Mxx 34Kxx PDFBibTeX XMLCite \textit{N. A. Elkot} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107017, 14 p. (2023; Zbl 07654058) Full Text: DOI
Kumar, Yashveer; Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term. (English) Zbl 07648417 Comput. Math. Appl. 132, 73-103 (2023). MSC: 65M70 26A33 34A08 65T60 65L60 65L05 PDFBibTeX XMLCite \textit{Y. Kumar} et al., Comput. Math. Appl. 132, 73--103 (2023; Zbl 07648417) Full Text: DOI
Sarumi, Ibrahim O.; Furati, Khaled M.; Mustapha, Kassem; Khaliq, Abdul Q. M. Efficient high-order exponential time differencing methods for nonlinear fractional differential models. (English) Zbl 1506.65094 Numer. Algorithms 92, No. 2, 1261-1288 (2023). MSC: 65L03 65L04 34K37 PDFBibTeX XMLCite \textit{I. O. Sarumi} et al., Numer. Algorithms 92, No. 2, 1261--1288 (2023; Zbl 1506.65094) Full Text: DOI
Oloniiju, Shina Daniel; Goqo, Sicelo Praisegod; Sibanda, Precious A Chebyshev pseudo-spectral method for the numerical solutions of distributed order fractional ordinary differential equations. (English) Zbl 1514.65095 Appl. Math. E-Notes 22, 132-141 (2022). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{S. D. Oloniiju} et al., Appl. Math. E-Notes 22, 132--141 (2022; Zbl 1514.65095) Full Text: Link
Mohammadi-Firouzjaei, Hadi; Adibi, Mona; Adibi, Hojatollah Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics. (English) Zbl 1524.65296 J. Math. Model. 10, No. 2, 247-261 (2022). MSC: 65L60 34A08 92C45 PDFBibTeX XMLCite \textit{H. Mohammadi-Firouzjaei} et al., J. Math. Model. 10, No. 2, 247--261 (2022; Zbl 1524.65296) Full Text: DOI
Chen, Xuejuan; Mao, Zhiping; Karniadakis, George Em Efficient and accurate numerical methods using the accelerated spectral deferred correction for solving fractional differential equations. (English) Zbl 1524.65643 Numer. Math., Theory Methods Appl. 15, No. 4, 876-902 (2022). MSC: 65M70 65N35 65E05 41A05 41A10 41A25 26A33 35M11 65F10 65F08 34A08 65N50 65R20 PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 876--902 (2022; Zbl 1524.65643) Full Text: DOI
Gokmen, Elcin; Isik, Osman Raşit A numerical method to solve fractional pantograph differential equations with residual error analysis. (English) Zbl 1510.65138 Math. Sci., Springer 16, No. 4, 361-371 (2022). MSC: 65L05 65L60 34A08 PDFBibTeX XMLCite \textit{E. Gokmen} and \textit{O. R. Isik}, Math. Sci., Springer 16, No. 4, 361--371 (2022; Zbl 1510.65138) Full Text: DOI
Yin, Qiang; Cai, Juntong; Gong, Xue; Ding, Qian Local parameter identification with neural ordinary differential equations. (English) Zbl 1506.34056 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 12, 1887-1900 (2022). MSC: 34C15 68T07 93B30 93C15 PDFBibTeX XMLCite \textit{Q. Yin} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 12, 1887--1900 (2022; Zbl 1506.34056) Full Text: DOI
García, P. Modeling systems with machine learning based differential equations. (English) Zbl 1508.37106 Chaos Solitons Fractals 165, Part 2, Article ID 112872, 6 p. (2022). MSC: 37M10 34A12 68T05 PDFBibTeX XMLCite \textit{P. García}, Chaos Solitons Fractals 165, Part 2, Article ID 112872, 6 p. (2022; Zbl 1508.37106) Full Text: DOI arXiv
Zheng, Xiangcheng Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems. (English) Zbl 1503.45015 Fract. Calc. Appl. Anal. 25, No. 4, 1585-1603 (2022). MSC: 45P05 34A08 PDFBibTeX XMLCite \textit{X. Zheng}, Fract. Calc. Appl. Anal. 25, No. 4, 1585--1603 (2022; Zbl 1503.45015) Full Text: DOI arXiv
Berkhahn, Sarah; Ehrhardt, Matthias A physics-informed neural network to model COVID-19 infection and hospitalization scenarios. (English) Zbl 07636107 Adv. Contin. Discrete Models 2022, Paper No. 61, 27 p. (2022). MSC: 39-XX 34-XX PDFBibTeX XMLCite \textit{S. Berkhahn} and \textit{M. Ehrhardt}, Adv. Contin. Discrete Models 2022, Paper No. 61, 27 p. (2022; Zbl 07636107) Full Text: DOI
Fakhar-Izadi, Farhad; Shabgard, Narges Time-space spectral Galerkin method for time-fractional fourth-order partial differential equations. (English) Zbl 07632347 J. Appl. Math. Comput. 68, No. 6, 4253-4272 (2022). MSC: 65Mxx 26A33 34K28 65M12 65M60 65M70 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{N. Shabgard}, J. Appl. Math. Comput. 68, No. 6, 4253--4272 (2022; Zbl 07632347) Full Text: DOI
Yang, Zhiwei Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations. (English) Zbl 1506.65176 Z. Angew. Math. Phys. 73, No. 6, Paper No. 253, 15 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 65C30 60H35 60J65 35B65 35B35 34A08 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{Z. Yang}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 253, 15 p. (2022; Zbl 1506.65176) Full Text: DOI
Taleshian, Amir Hosein; Alipour, Mohsen; Babakhani, Azizollah; Baleanu, Dumitru Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix. (English) Zbl 1518.65079 Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 277, 16 p. (2022). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{A. H. Taleshian} et al., Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 277, 16 p. (2022; Zbl 1518.65079) Full Text: DOI
Jornet, Marc Liouville’s equations for random systems. (English) Zbl 1501.35467 Stochastic Anal. Appl. 40, No. 6, 1026-1047 (2022). MSC: 35R60 34F05 35F05 PDFBibTeX XMLCite \textit{M. Jornet}, Stochastic Anal. Appl. 40, No. 6, 1026--1047 (2022; Zbl 1501.35467) Full Text: DOI
Dai, Xinjie; Xiao, Aiguo; Bu, Weiping Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation. (English) Zbl 1504.65011 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4231-4253 (2022). MSC: 65C30 65R20 26A33 34A08 PDFBibTeX XMLCite \textit{X. Dai} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4231--4253 (2022; Zbl 1504.65011) Full Text: DOI arXiv
Nass, Aminu Ma’aruf Lie point symmetries of autonomous scalar first-order Itô stochastic delay ordinary differential equations. (English) Zbl 1505.34123 J. Theor. Probab. 35, No. 3, 1939-1951 (2022). MSC: 34K50 34K04 PDFBibTeX XMLCite \textit{A. M. Nass}, J. Theor. Probab. 35, No. 3, 1939--1951 (2022; Zbl 1505.34123) Full Text: DOI
Ghosh, Surath Numerical study on fractional-order Lotka-Volterra model with spectral method and Adams-Bashforth-Moulton method. (English) Zbl 1500.65107 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 233, 22 p. (2022). MSC: 65R20 34A08 65L60 PDFBibTeX XMLCite \textit{S. Ghosh}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 233, 22 p. (2022; Zbl 1500.65107) Full Text: DOI
Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice Stability of two-step spline collocation methods for initial value problems for fractional differential equations. (English) Zbl 1495.65239 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106726, 17 p. (2022). MSC: 65R20 34A08 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{A. Cardone} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106726, 17 p. (2022; Zbl 1495.65239) Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S.; Suragan, D. Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations. (English) Zbl 1498.65114 Appl. Numer. Math. 181, 326-346 (2022). MSC: 65L03 65L60 34A08 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Appl. Numer. Math. 181, 326--346 (2022; Zbl 1498.65114) Full Text: DOI
Li, Lei; Wang, Dongling Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations. (English) Zbl 1498.65112 BIT 62, No. 3, 995-1027 (2022). MSC: 65L03 34A08 65L20 PDFBibTeX XMLCite \textit{L. Li} and \textit{D. Wang}, BIT 62, No. 3, 995--1027 (2022; Zbl 1498.65112) Full Text: DOI arXiv
Deng, Nan; Cao, Wanrong; Pang, Guofei On numerical methods to second-order singular initial value problems with additive white noise. (English) Zbl 1492.65021 J. Comput. Appl. Math. 416, Article ID 114539, 22 p. (2022). MSC: 65C30 34F05 60H10 60H35 65L05 65L20 PDFBibTeX XMLCite \textit{N. Deng} et al., J. Comput. Appl. Math. 416, Article ID 114539, 22 p. (2022; Zbl 1492.65021) Full Text: DOI
Sousa, Ercília The convergence rate for difference approximations to fractional boundary value problems. (English) Zbl 1492.65220 J. Comput. Appl. Math. 415, Article ID 114486, 16 p. (2022). MSC: 65L12 34A08 65L10 65L20 65L70 PDFBibTeX XMLCite \textit{E. Sousa}, J. Comput. Appl. Math. 415, Article ID 114486, 16 p. (2022; Zbl 1492.65220) Full Text: DOI
Morales, M. Guadalupe; Došlá, Zuzana Almost oscillatory fractional differential equations. (English) Zbl 1513.34031 Comput. Appl. Math. 41, No. 5, Paper No. 201, 18 p. (2022). MSC: 34A08 34C10 26A33 PDFBibTeX XMLCite \textit{M. G. Morales} and \textit{Z. Došlá}, Comput. Appl. Math. 41, No. 5, Paper No. 201, 18 p. (2022; Zbl 1513.34031) Full Text: DOI
Cui, Zhoujin; Wang, Zaihua Effect of double-frequency excitation on a fractional model of cerebral aneurysm. (English) Zbl 1497.92050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 7, Article ID 2250104, 18 p. (2022). MSC: 92C32 92B20 34A08 PDFBibTeX XMLCite \textit{Z. Cui} and \textit{Z. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 7, Article ID 2250104, 18 p. (2022; Zbl 1497.92050) Full Text: DOI
Yuan, Minjuan; Wang, Liang; Jiao, Yiyu; Xu, Wei Stochastic P-bifurcation analysis of fractional smooth and discontinuous oscillator with an extended fast method. (English) Zbl 07558032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 7, Article ID 2250097, 15 p. (2022). MSC: 65Lxx 34Axx 26Axx PDFBibTeX XMLCite \textit{M. Yuan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 7, Article ID 2250097, 15 p. (2022; Zbl 07558032) Full Text: DOI
Erturk, Vedat Suat; Alomari, A. K.; Kumar, Pushpendra; Murillo-Arcila, Marina Analytic solution for the strongly nonlinear multi-order fractional version of a BVP occurring in chemical reactor theory. (English) Zbl 1490.34006 Discrete Dyn. Nat. Soc. 2022, Article ID 8655340, 9 p. (2022). MSC: 34A08 35R11 92E20 PDFBibTeX XMLCite \textit{V. S. Erturk} et al., Discrete Dyn. Nat. Soc. 2022, Article ID 8655340, 9 p. (2022; Zbl 1490.34006) Full Text: DOI
Fu, Taibai; Du, Changfa; Xu, Yufeng An effective finite element method with shifted fractional powers bases for fractional boundary value problems. (English) Zbl 1496.65092 J. Sci. Comput. 92, No. 1, Paper No. 4, 15 p. (2022). MSC: 65L60 34A08 65L10 PDFBibTeX XMLCite \textit{T. Fu} et al., J. Sci. Comput. 92, No. 1, Paper No. 4, 15 p. (2022; Zbl 1496.65092) Full Text: DOI
Derakhshan, M. H. Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics. (English) Zbl 07534934 J. Appl. Math. Comput. 68, No. 1, 403-429 (2022). MSC: 65Mxx 26A33 34A08 65M70 65N12 PDFBibTeX XMLCite \textit{M. H. Derakhshan}, J. Appl. Math. Comput. 68, No. 1, 403--429 (2022; Zbl 07534934) Full Text: DOI
Wei, Yufen; Guo, Ying; Li, Yu A new numerical method for solving semilinear fractional differential equation. (English) Zbl 1495.65103 J. Appl. Math. Comput. 68, No. 2, 1289-1311 (2022). MSC: 65L05 34A08 65L60 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Appl. Math. Comput. 68, No. 2, 1289--1311 (2022; Zbl 1495.65103) Full Text: DOI
Li, Lili; Zhao, Dan; She, Mianfu; Chen, Xiaoli On high order numerical schemes for fractional differential equations by block-by-block approach. (English) Zbl 1510.65164 Appl. Math. Comput. 425, Article ID 127098, 16 p. (2022). MSC: 65L20 34A08 65L12 PDFBibTeX XMLCite \textit{L. Li} et al., Appl. Math. Comput. 425, Article ID 127098, 16 p. (2022; Zbl 1510.65164) Full Text: DOI
Brunton, Steven L.; Budišić, Marko; Kaiser, Eurika; Kutz, J. Nathan Modern Koopman theory for dynamical systems. (English) Zbl 1497.37105 SIAM Rev. 64, No. 2, 229-340 (2022). MSC: 37M99 37C10 37N35 47A35 47B33 34A34 PDFBibTeX XMLCite \textit{S. L. Brunton} et al., SIAM Rev. 64, No. 2, 229--340 (2022; Zbl 1497.37105) Full Text: DOI arXiv
Li, Shan; Sun, Guilei; Guo, Yuling; Wang, Zhongqing A multiple interval Chebyshev-Gauss-Lobatto collocation method for multi-order fractional differential equations. (English) Zbl 1485.65090 East Asian J. Appl. Math. 12, No. 3, 649-672 (2022). MSC: 65L60 34A08 65L70 PDFBibTeX XMLCite \textit{S. Li} et al., East Asian J. Appl. Math. 12, No. 3, 649--672 (2022; Zbl 1485.65090) Full Text: DOI
Zheng, Xiangcheng; Wang, Hong Variable-order space-fractional diffusion equations and a variable-order modification of constant-order fractional problems. (English) Zbl 1498.34052 Appl. Anal. 101, No. 6, 1848-1870 (2022). Reviewer: Syed Abbas (Mandi) MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, Appl. Anal. 101, No. 6, 1848--1870 (2022; Zbl 1498.34052) Full Text: DOI
Tavasani, B. Bagherzadeh; Sheikhani, A. H. Refahi; Aminikhah, H. Numerical scheme to solve a class of variable-order Hilfer-Prabhakar fractional differential equations with Jacobi wavelets polynomials. (English) Zbl 1513.65489 Appl. Math., Ser. B (Engl. Ed.) 37, No. 1, 35-51 (2022). MSC: 65N35 34A08 PDFBibTeX XMLCite \textit{B. B. Tavasani} et al., Appl. Math., Ser. B (Engl. Ed.) 37, No. 1, 35--51 (2022; Zbl 1513.65489) Full Text: DOI
Wang, Yibo; Cao, Wanrong; Li, Shengyue A spectral Petrov-Galerkin method for optimal control problem governed by a fractional ordinary differential equation. (English) Zbl 1486.49030 Appl. Numer. Math. 177, 18-33 (2022). MSC: 49K15 34A08 49K27 PDFBibTeX XMLCite \textit{Y. Wang} et al., Appl. Numer. Math. 177, 18--33 (2022; Zbl 1486.49030) Full Text: DOI
Hussain, Shah; Madi, Elissa Nadia; Khan, Hasib; Gulzar, Haseena; Etemad, Sina; Rezapour, Shahram; Kaabar, Mohammed K. A. On the stochastic modeling of COVID-19 under the environmental white noise. (English) Zbl 1494.34124 J. Funct. Spaces 2022, Article ID 4320865, 9 p. (2022). MSC: 34C60 34F05 92C60 92D30 34C05 34D20 34D05 PDFBibTeX XMLCite \textit{S. Hussain} et al., J. Funct. Spaces 2022, Article ID 4320865, 9 p. (2022; Zbl 1494.34124) Full Text: DOI
Ali, Muhammad; Aziz, Sara; Malik, Salman A. Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach. (English) Zbl 1481.35391 J. Pseudo-Differ. Oper. Appl. 13, No. 1, Paper No. 3, 16 p. (2022). MSC: 35R30 35R11 26A33 34A08 34A25 PDFBibTeX XMLCite \textit{M. Ali} et al., J. Pseudo-Differ. Oper. Appl. 13, No. 1, Paper No. 3, 16 p. (2022; Zbl 1481.35391) Full Text: DOI
Jia, Jinhong; Wang, Hong Analysis of a hidden memory variably distributed-order space-fractional diffusion equation. (English) Zbl 1514.34019 Appl. Math. Lett. 124, Article ID 107617, 7 p. (2022). Reviewer: Ogbu F. Imaga (Ota) MSC: 34A08 34B15 45D05 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, Appl. Math. Lett. 124, Article ID 107617, 7 p. (2022; Zbl 1514.34019) Full Text: DOI
Jannelli, Alessandra Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations. (English) Zbl 07443082 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022). MSC: 65Mxx 34Axx 65Lxx PDFBibTeX XMLCite \textit{A. Jannelli}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022; Zbl 07443082) Full Text: DOI
Gande, Naga Raju; Madduri, H. Higher order numerical schemes for the solution of fractional delay differential equations. (English) Zbl 1491.65056 J. Comput. Appl. Math. 402, Article ID 113810, 30 p. (2022). MSC: 65L03 34K37 65L20 65L70 PDFBibTeX XMLCite \textit{N. R. Gande} and \textit{H. Madduri}, J. Comput. Appl. Math. 402, Article ID 113810, 30 p. (2022; Zbl 1491.65056) Full Text: DOI
Houlari, Tahereh; Dehghan, Mohammad; Biazar, Jafar; Nouri, Alireza Theory and numerical approaches of high order fractional Sturm-Liouville problems. (English) Zbl 07578305 Turk. J. Math. 45, No. 4, 1564-1579 (2021). MSC: 34B24 34A08 34L15 34L16 PDFBibTeX XMLCite \textit{T. Houlari} et al., Turk. J. Math. 45, No. 4, 1564--1579 (2021; Zbl 07578305) Full Text: DOI
Pakniyat, A.; Parand, K.; Jani, M. Least squares support vector regression for differential equations on unbounded domains. (English) Zbl 1498.34038 Chaos Solitons Fractals 151, Article ID 111232, 10 p. (2021). MSC: 34A08 62J99 65N35 PDFBibTeX XMLCite \textit{A. Pakniyat} et al., Chaos Solitons Fractals 151, Article ID 111232, 10 p. (2021; Zbl 1498.34038) Full Text: DOI
Jornet, Marc Uncertainty quantification for random Hamiltonian systems by using polynomial expansions and geometric integrators. (English) Zbl 1498.65020 Chaos Solitons Fractals 151, Article ID 111208, 18 p. (2021). MSC: 65C30 34F05 37J06 65L05 PDFBibTeX XMLCite \textit{M. Jornet}, Chaos Solitons Fractals 151, Article ID 111208, 18 p. (2021; Zbl 1498.65020) Full Text: DOI Link
Pourhasan, Masoud; Ramezani, Mohammad An effective approach to solve a multi-term time fractional differential equation \((M-TFDE)\) with \(3\) function space approximation. (English) Zbl 1513.34306 J. Math. Ext. 15, No. 5, Paper No. 29, 39 p. (2021). MSC: 34K37 65L03 PDFBibTeX XMLCite \textit{M. Pourhasan} and \textit{M. Ramezani}, J. Math. Ext. 15, No. 5, Paper No. 29, 39 p. (2021; Zbl 1513.34306) Full Text: DOI
Massah, Maralani Elnaz; Dastmalchi, Saei Farhad; Akbarfam, Ali Asghar Jodayree; Ghanbari, Kazem Eigenvalues of fractional Sturm-Liouville problems by successive method. (English) Zbl 1513.34029 Comput. Methods Differ. Equ. 9, No. 4, 1163-1175 (2021). MSC: 34A08 34B24 34L15 34A45 33E12 PDFBibTeX XMLCite \textit{M. E. Massah} et al., Comput. Methods Differ. Equ. 9, No. 4, 1163--1175 (2021; Zbl 1513.34029) Full Text: DOI
Talib, Imran; Alam, Md. Nur; Baleanu, Dumitru; Zaidi, Danish; Marriyam, Ammarah A new integral operational matrix with applications to multi-order fractional differential equations. (English) Zbl 1484.34067 AIMS Math. 6, No. 8, 8742-8771 (2021). MSC: 34A45 34A08 65M99 PDFBibTeX XMLCite \textit{I. Talib} et al., AIMS Math. 6, No. 8, 8742--8771 (2021; Zbl 1484.34067) Full Text: DOI
Yang, Zhiwei; Zheng, Xiangcheng; Zhang, Zhongqiang; Wang, Hong Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise. (English) Zbl 1496.65012 Chaos Solitons Fractals 142, Article ID 110392, 11 p. (2021). MSC: 65C30 34A08 60H35 PDFBibTeX XMLCite \textit{Z. Yang} et al., Chaos Solitons Fractals 142, Article ID 110392, 11 p. (2021; Zbl 1496.65012) Full Text: DOI
Gu, Yiqi; Wang, Chunmei; Yang, Haizhao Structure probing neural network deflation. (English) Zbl 07508532 J. Comput. Phys. 434, Article ID 110231, 21 p. (2021). MSC: 65Hxx 34Bxx 65Lxx PDFBibTeX XMLCite \textit{Y. Gu} et al., J. Comput. Phys. 434, Article ID 110231, 21 p. (2021; Zbl 07508532) Full Text: DOI arXiv
Pandey, Prashant K.; Pandey, Rajesh K.; Yadav, Swati; Agrawal, Om P. Variational approach for tempered fractional Sturm-Liouville problem. (English) Zbl 1491.34019 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 51, 17 p. (2021). MSC: 34A08 34B24 34L15 34L10 PDFBibTeX XMLCite \textit{P. K. Pandey} et al., Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 51, 17 p. (2021; Zbl 1491.34019) Full Text: DOI
Iben, U.; Wagner, C. Taylor mapping method for solving and learning of dynamic processes. (English) Zbl 07484753 Inverse Probl. Sci. Eng. 29, No. 13, 3190-3213 (2021). MSC: 34Axx 65Lxx 65-XX PDFBibTeX XMLCite \textit{U. Iben} and \textit{C. Wagner}, Inverse Probl. Sci. Eng. 29, No. 13, 3190--3213 (2021; Zbl 07484753) Full Text: DOI
Lin, Fubiao; Li, Yaxiang; Zhang, Jun Energy and mass conservative averaging local discontinuous Galerkin method for Schrödinger equation. (English) Zbl 1499.65327 Int. J. Numer. Anal. Model. 18, No. 6, 723-739 (2021). MSC: 65L10 34B27 65M60 PDFBibTeX XMLCite \textit{F. Lin} et al., Int. J. Numer. Anal. Model. 18, No. 6, 723--739 (2021; Zbl 1499.65327) Full Text: Link
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates. (English) Zbl 1480.65193 Int. J. Comput. Math. 98, No. 11, 2296-2309 (2021). MSC: 65L60 34A08 65L20 65L70 PDFBibTeX XMLCite \textit{Z. Yang} et al., Int. J. Comput. Math. 98, No. 11, 2296--2309 (2021; Zbl 1480.65193) Full Text: DOI
Suzuki, Jorge L.; Zayernouri, Mohsen A self-singularity-capturing scheme for fractional differential equations. (English) Zbl 1480.65171 Int. J. Comput. Math. 98, No. 5, 933-960 (2021). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{J. L. Suzuki} and \textit{M. Zayernouri}, Int. J. Comput. Math. 98, No. 5, 933--960 (2021; Zbl 1480.65171) Full Text: DOI arXiv
Ordokhani, Yadollah; Rahimkhani, Parisa A computational method based on Legendre wavelets for solving distributed order fractional differential equations. (English) Zbl 1513.65210 J. Math. Model. 9, No. 3, 501-516 (2021). MSC: 65L03 65L12 34K37 PDFBibTeX XMLCite \textit{Y. Ordokhani} and \textit{P. Rahimkhani}, J. Math. Model. 9, No. 3, 501--516 (2021; Zbl 1513.65210) Full Text: DOI
Zhang, Minling; Liu, Fawang; Anh, Vo An effective algorithm for computing fractional derivatives and application to fractional differential equations. (English) Zbl 1499.65073 Int. J. Numer. Anal. Model. 18, No. 4, 458-480 (2021). MSC: 65D25 26A33 34A08 65R20 PDFBibTeX XMLCite \textit{M. Zhang} et al., Int. J. Numer. Anal. Model. 18, No. 4, 458--480 (2021; Zbl 1499.65073) Full Text: Link
Zhao, Lijing; Deng, Weihua; Hesthaven, Jan S. Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\). (English) Zbl 07445145 Sci. China, Math. 64, No. 12, 2611-2636 (2021). MSC: 47-XX 46-XX 26A33 46E30 34A08 34A45 65-XX PDFBibTeX XMLCite \textit{L. Zhao} et al., Sci. China, Math. 64, No. 12, 2611--2636 (2021; Zbl 07445145) Full Text: DOI arXiv
Kuehn, Christian; Lux, Kerstin Uncertainty quantification of bifurcations in random ordinary differential equations. (English) Zbl 1484.34142 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295-2334 (2021). MSC: 34F10 34C23 60H35 41A58 44A15 34C45 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{K. Lux}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295--2334 (2021; Zbl 1484.34142) Full Text: DOI arXiv
Li, Yulong On the decomposition of solutions: from fractional diffusion to fractional Laplacian. (English) Zbl 1498.35585 Fract. Calc. Appl. Anal. 24, No. 5, 1571-1600 (2021). MSC: 35R11 65L60 34A08 26A33 PDFBibTeX XMLCite \textit{Y. Li}, Fract. Calc. Appl. Anal. 24, No. 5, 1571--1600 (2021; Zbl 1498.35585) Full Text: DOI
D’Elia, Marta; Gulian, Mamikon; Olson, Hayley; Karniadakis, George Em Towards a unified theory of fractional and nonlocal vector calculus. (English) Zbl 1498.26008 Fract. Calc. Appl. Anal. 24, No. 5, 1301-1355 (2021). MSC: 26A33 35R11 34A08 PDFBibTeX XMLCite \textit{M. D'Elia} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1301--1355 (2021; Zbl 1498.26008) Full Text: DOI arXiv
Mert, Raziye; Abdeljawad, Thabet; Peterson, Allan A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators. (English) Zbl 1491.34018 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2417-2434 (2021). MSC: 34A08 26A33 34B24 39A12 34L10 34L15 PDFBibTeX XMLCite \textit{R. Mert} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2417--2434 (2021; Zbl 1491.34018) Full Text: DOI
Fabio, Marcela A.; Seminara, Silvia A.; Troparevsky, María Inés Approximate solutions to fractional boundary value problems by wavelet decomposition methods. (English) Zbl 1501.65113 Muszkats, Juan Pablo (ed.) et al., Applications of wavelet multiresolution analysis. Selected papers based on the presentations of the mini-symposium on applications of multiresolution analysis with wavelets at ICIAM 2019, Valencia, Spain, July 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 4, 1-21 (2021). MSC: 65N30 65T60 26A33 35R11 34A08 34A30 42C40 PDFBibTeX XMLCite \textit{M. A. Fabio} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 4, 1--21 (2021; Zbl 1501.65113) Full Text: DOI
Rashidinia, Jalil; Eftekhari, Tahereh; Maleknejad, Khosrow A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets. (English) Zbl 1482.65129 Numer. Algorithms 88, No. 4, 1617-1639 (2021). MSC: 65L60 34A08 65L70 65R20 PDFBibTeX XMLCite \textit{J. Rashidinia} et al., Numer. Algorithms 88, No. 4, 1617--1639 (2021; Zbl 1482.65129) Full Text: DOI
Lefebvre, William; Miller, Enzo Linear-quadratic stochastic delayed control and deep learning resolution. (English) Zbl 1478.93734 J. Optim. Theory Appl. 191, No. 1, 134-168 (2021). MSC: 93E20 93C43 34K50 35Q93 91G10 68T07 PDFBibTeX XMLCite \textit{W. Lefebvre} and \textit{E. Miller}, J. Optim. Theory Appl. 191, No. 1, 134--168 (2021; Zbl 1478.93734) Full Text: DOI arXiv
Sweilam, N. H.; AL-Mekhlafi, S. M.; Albalawi, A. O.; Tenreiro Machado, J. A. Optimal control of variable-order fractional model for delay cancer treatments. (English) Zbl 1481.92071 Appl. Math. Modelling 89, Part 2, 1557-1574 (2021). MSC: 92C50 34A08 49N90 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Appl. Math. Modelling 89, Part 2, 1557--1574 (2021; Zbl 1481.92071) Full Text: DOI
Yang, Suxiang; Chen, Huanzhen; Ervin, Vincent J.; Wang, Hong Solvability and approximation of two-side conservative fractional diffusion problems with variable-coefficient based on least-squares. (English) Zbl 1510.65175 Appl. Math. Comput. 406, Article ID 126229, 21 p. (2021). MSC: 65L60 34A08 34B15 65L10 65L20 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Math. Comput. 406, Article ID 126229, 21 p. (2021; Zbl 1510.65175) Full Text: DOI
Xiang, Guangjian; Yin, Deshun; Cao, Chenxi; Gao, Yunfei Creep modelling of soft soil based on the fractional flow rule: simulation and parameter study. (English) Zbl 1510.74087 Appl. Math. Comput. 403, Article ID 126190, 10 p. (2021). MSC: 74L10 34A08 PDFBibTeX XMLCite \textit{G. Xiang} et al., Appl. Math. Comput. 403, Article ID 126190, 10 p. (2021; Zbl 1510.74087) Full Text: DOI
Liang, Song A mechanical model of Brownian motion for one massive particle including low energy light particles in dimension \(d \geq 3\). (English) Zbl 1476.70062 Random Oper. Stoch. Equ. 29, No. 3, 203-235 (2021). MSC: 70F45 34F05 60B10 60J60 PDFBibTeX XMLCite \textit{S. Liang}, Random Oper. Stoch. Equ. 29, No. 3, 203--235 (2021; Zbl 1476.70062) Full Text: DOI
Kaur, Navjot; Goyal, Kavita Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. (English) Zbl 1471.92320 Regul. Chaotic Dyn. 26, No. 1, 22-38 (2021). MSC: 92D30 34F05 60H10 PDFBibTeX XMLCite \textit{N. Kaur} and \textit{K. Goyal}, Regul. Chaotic Dyn. 26, No. 1, 22--38 (2021; Zbl 1471.92320) Full Text: DOI
Yan, Rian; Ma, Qiang; Ding, Xiaohua Convergence analysis of the hp-version spectral collocation method for a class of nonlinear variable-order fractional differential equations. (English) Zbl 1505.65278 Appl. Numer. Math. 170, 269-297 (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M12 65M15 35D30 35A01 35A02 34A08 65L60 26A33 35R11 PDFBibTeX XMLCite \textit{R. Yan} et al., Appl. Numer. Math. 170, 269--297 (2021; Zbl 1505.65278) Full Text: DOI
Khosravian-Arab, Hassan; Eslahchi, Mohammad Reza Müntz Sturm-Liouville problems: theory and numerical experiments. (English) Zbl 1498.34033 Fract. Calc. Appl. Anal. 24, No. 3, 775-817 (2021). MSC: 34A08 35R11 26A33 65M70 65L60 PDFBibTeX XMLCite \textit{H. Khosravian-Arab} and \textit{M. R. Eslahchi}, Fract. Calc. Appl. Anal. 24, No. 3, 775--817 (2021; Zbl 1498.34033) Full Text: DOI arXiv